Question

a bicycle is moving at 10m/s . what is the angular speed of its tires if their radius is 30cm?

Answer 1

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Answer 2

Given

• Speed = 10 m/s
• Radius = 30 cm

To Find

• Angular Speed

Solution

● V = r × ω

● We have to first convert the radius of the tyre from cm to m. Then simple substitution in the formula and in rearranging the terms we would get our Answer!!

✭ Converting Units :

• Radius = 30 cm
• Radius = 30/100
• Radius = 0.3 m

✭ Angular Speed :

→ v = r × ω

→ 10 = 0.3 × ω

→ 10/0.3 = ω

→ ω = 3.33 rad/s

∴ The angular Speed of the tyre is 3.33 rad/s